455515456440 has 128 divisors (see below), whose sum is σ = 1491681484800. Its totient is φ = 110361054720.

The previous prime is 455515456423. The next prime is 455515456441. The reversal of 455515456440 is 44654515554.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 455515456440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455515456441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091406 + ... + 2298914.

It is an arithmetic number, because the mean of its divisors is an integer number (11653761600).

Almost surely, 2^455515456440 is an apocalyptic number.

455515456440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455515456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745840742400).

455515456440 is an abundant number, since it is smaller than the sum of its proper divisors (1036166028360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455515456440 is a wasteful number, since it uses less digits than its factorization.

455515456440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209197 (or 209193 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 455515456440 in words is "four hundred fifty-five billion, five hundred fifteen million, four hundred fifty-six thousand, four hundred forty".